Question

triangles abc and def have the following characteristics:
∠b and ∠e are right angles
∠a ≅ ∠d
\overline{bc} ≅ \overline{ef}
which congruence theorem can be used to prove △abc ≅ △def?
○ aas
○ asa
○ hl
○ sas

Explanation:

Step1: Identify triangle types

Both are right triangles ($\angle B=\angle E=90^\circ$).

Step2: List congruent parts

$\angle A \cong \angle D$, $\angle B \cong \angle E$ (right angles), $\overline{BC} \cong \overline{EF}$ (non-included side between angles).

Step3: Match to congruence theorem

Two angles and a non-included side congruent → AAS.

Answer:

A. AAS